Watch video # write a Matlab code to do the following:

Design a $220220$ black image with a $3030$ centered white square and then find its Fourier Transform

Rotate the rectangle in image $30$ and find its Fourier Transform

Translate the rectangle in image to another location and find its Fourier Transform

Scale the rectangle in image into $4040$ and find its Fourier Transform

Display all the images above as in video using subplot

Task $2$:

Write a Matlab code to read 'eight.tif' image and to do the following:

a$.$ Add 'gaussian' noise into the image with $0$ mean and $0\mathrm{.}005$ variance and save it in a noisy$\_$img.

b$.$ Apply a $55$ average filter with replicate border into the noisy$\_$img, and display the result.

c$.$ Apply a Gaussian low$-$pass filter on the noisy$\_$img with $DO=42$ and $D0=25$ and display the results